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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2403.16300 |
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| _version_ | 1866912327314440192 |
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| author | Toussaint, Lauran Zeiser, Florian |
| author_facet | Toussaint, Lauran Zeiser, Florian |
| contents | We compute the formal Poisson cohomology groups of a real Poisson structure $π$ on $\mathbb{C}^2$ associated to the Lefschetz singularity $(z_1, z_2)\mapsto z_1^2+z_2^2$. In particular we correct an erroneous computation in the literature. The definition of $π$ depends on a choice of volume form. Using the main result we formally classify all Poisson structure arising from different choices of volume forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formal Poisson (co)homology of the Lefschetz singularity Toussaint, Lauran Zeiser, Florian Symplectic Geometry 53D17, 12H05 We compute the formal Poisson cohomology groups of a real Poisson structure $π$ on $\mathbb{C}^2$ associated to the Lefschetz singularity $(z_1, z_2)\mapsto z_1^2+z_2^2$. In particular we correct an erroneous computation in the literature. The definition of $π$ depends on a choice of volume form. Using the main result we formally classify all Poisson structure arising from different choices of volume forms. |
| title | Formal Poisson (co)homology of the Lefschetz singularity |
| topic | Symplectic Geometry 53D17, 12H05 |
| url | https://arxiv.org/abs/2403.16300 |